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Finding the Fourth Proportional to 16,854.86, 23,245.71 and 12,655.82

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Solution

The fourth proportional to 16,854.86, 23,245.71 and 12,655.82 is: 17,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854.86 : 23,245.71 = 12,655.82 : x
  2. Step 2: Convert to fraction form
    16,854.86/23,245.71 = 12,655.82/x
  3. Step 3: Cross multiply
    16,854.86x = 23,245.71 × 12,655.82
  4. Step 4: Simplify right side
    16,854.86x = 294,193,521.53
  5. Step 5: Solve for x
    x = 294,193,521.53/16,854.86
  6. Step 6: Final answer
    x = 17,454.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.